veto-methods: Veto indices

In kappalab: Non-Additive Measure and Integral Manipulation Functions

Veto indices

Description

Computes the veto indices of a Choquet integral from the underlying normalized capacity. The capacity can be given either under the form of an object of class capacity, card.capacity or Mobius.capacity.

Methods

object = "Mobius.capacity"

The veto indices are computed from the Möbius transform of a capacity.

object = "capacity"

The veto indices are computed directly from a capacity.

object = "card.capacity"

The veto indices are computed from a cardinal capacity.

References

J.-L. Marichal (2000), Behavioral analysis of aggregation in multicriteria decision aid, in: Preferences and Decisions under Incomplete Knowledge, J. Fodor and B. De Baets and P. Perny Eds, Physica-Verlag, pages 153-178.

J.-L. Marichal (2004), Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral, European Journal of Operational Research 155:3, pages 771-791.

See Also

capacity-class,
Mobius.capacity-class,
card.capacity-class,
Mobius-methods.

Examples

## a capacity
mu <- capacity(c(0:13,13,13)/13)

## its Mobius transform
a <- Mobius(mu)

## their veto indices
veto(mu)
veto(a)

## the same with a card.capacity object
mu <- lower.capacity(4)
veto(mu)

kappalab documentation built on Nov. 8, 2023, 1:07 a.m.